Intersections on tropical moduli spaces

DOI10.1216/RMJ-2016-46-2-581zbMath1379.14035arXiv0812.3678OpenAlexW3105737775MaRDI QIDQ309481

Johannes Rau

Publication date: 7 September 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3678

zbMATH Keywords

tropical geometrytropical Gromov-Witten theorytropical intersection theory

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

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Convex analysis on polyhedral spaces ⋮ Intersecting psi-classes on tropical Hassett spaces ⋮ Counting tropical rational space curves with cross-ratio constraints ⋮ Tropical \(\psi\) classes ⋮ Generalizing tropical Kontsevich's formula to multiple cross-ratios ⋮ Counting tropical rational curves with cross-ratio constraints ⋮ Cocycles on tropical varieties via piecewise polynomials ⋮ The realizability of curves in a tropical plane ⋮ Tropical intersection theory from toric varieties ⋮ Stable intersections of tropical varieties ⋮ Mustafin varieties, moduli spaces and tropical geometry ⋮ Descendant log Gromov-Witten invariants for toric varieties and tropical curves ⋮ Cycles, cocycles, and duality on tropical manifolds ⋮ Intersection theory on linear subvarieties of toric varieties

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